An instrument designed for this type of troubleshooting is a milli-ohm meter, with a 4-wire test probe set and an audio generator that changes the pitch of the tone (from the internal speaker), as the very small changes in resistance are detected while probing around the board. The speaker tone allows the operator to focus attention on the test points, and not need to read the digital display constantly.
ToneOhm is a common term associated withh these type of testers, although it may be a tradename used by Polar.
There have been many of the older, basic Polar models in the used instrument (and eBay) market.
The very basic model I bought (very inexpensivly on eBay) years ago wasn't a Polar, made in Britain instead, but I forget the manufacturer's name.
A basic instrument will have a couple of selectors for resolution and tone on/off.
Basic milliohm tester-type circuits can be found online.
-- Cheers, WB .............